Analysis of Flexural Vibrations of a Piezoelectric Semiconductor Nanoplate Driven by a Time-Harmonic Force

Li, Mengen; Zhang, Qiaoyun; Wang, Bingbing; Zhao, Minghao

doi:10.3390/ma14143926

Cited by 14 publications

(3 citation statements)

References 27 publications

(32 reference statements)

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“…The linearized equations mentioned above have been successfully applied to study the static and dynamic problems of various structures such as PS rods 10,20,24,25 , beams [26][27][28] , plates [29][30][31][32][33] , tubes 34,35 , and blocks 11,[36][37][38] . Consider the bending deformation of the PS fiber with variable cross-sections shown in Figure 1.…”

Section: Basic Equations Of Piezoelectricitymentioning

confidence: 99%

Analysis of the laterally bent piezoelectric semiconductor fibers with variable cross sections

Fang

et al. 2023

Journal of Applied Physics

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Piezoelectric semiconductor (PS) materials have attracted much attention in recent years due to their unique properties. This paper explores the electromechanical coupling behavior of bent piezoelectric semiconductor fibers with non-uniform cross-sectional areas. The study uses the generalized differential quadrature method to numerically solve the field equations with variable coefficients derived from piezoelectric theory. The research examines the mechanical and electrical field distribution of bent variable cross-sectional fibers, comparing the performances of non-uniform fibers with different profiles. The study reveals that the variable cross-sectional profile of the fiber changes the characteristic of the uniform fiber’s electrical distribution along the axis, and it exhibits a more sensitive and stronger electrical response to the same external force. The research also shows that the concavity and convexity of the radius distribution function of the non-uniform fibers determine whether there are extreme points of surface potential. Finally, the study suggests that by designing extreme points of the PS fiber profile, surface potential extreme points can be artificially created at the same location. These results offer a theoretical direction for creating advanced piezoelectric semiconductor nanodevices and present novel insights into designing higher-efficiency nanogenerators and mechanical strain sensors in the future.

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Section: Basic Equations Of Piezoelectricitymentioning

confidence: 99%

Analysis of the laterally bent piezoelectric semiconductor fibers with variable cross sections

Fang

et al. 2023

Journal of Applied Physics

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“…Cao et al [12] investigated the propagation of generalized Rayleigh surface waves in a transversely isotropic PS half space, and analytically solved the electric potential and the perturbation of the carrier density. Li et al [13] investigated the flexural vibrations of nanoplates subjected to a transversely time-harmonic force by using the first-order shear deformation theory, and deeply discussed the tuning effect of the initial electron concentration on the mechanical and electric properties. Salaha et al [14] studied the dispersion curves of shear horizontal modes in pre-stressed piezoelectric and piezotronics plates, and analyzed the acoustoelastic effect on the drifts of electrons and holes.…”

Section: Introductionmentioning

confidence: 99%

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate

Fang,

He,

et al. 2023

Appl. Math. Mech.-Engl. Ed.

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Sandwiched functionally-graded piezoelectric semiconductor (FGPS) plates possess high strength and excellent piezoelectric and semiconductor properties, and have significant potential applications in micro-electro-mechanical systems. The multi-field coupling and free vibration of a sandwiched FGPS plate are studied, and the governing equation and natural frequency are derived with the consideration of electron movement. The material properties in the functionally-graded layers are assumed to vary smoothly, and the first-order shear deformation theory is introduced to derive the multi-field coupling in the plate. The total strain energy of the plate is obtained, and the governing equations are presented by using Hamilton’s principle. By introducing the boundary conditions, the coupling physical fields are solved. In numerical examples, the natural frequencies of sandwiched FGPS plates under different geometrical and physical parameters are discussed. It is found that the initial electron density can be used to modulate the natural frequencies and vibrational displacement of sandwiched FGPS plates in the case of nano-size. The effects of the material properties of FGPS layers on the natural frequencies are also examined in detail.

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“…The theoretical analysis of multi-dimensional PSC problems is more difficult due to more complex equilibrium equations, constitutive relations, and multi-field coupling boundary conditions. In spite of this, there are classic electromechanical coupling problems that have been solved for thin plates [30][31][32], or infinite or semi-infinite domains, such as those for fracture [33][34][35] and wave propagation [36][37][38]. In addition, the studies on the temperature effects of PSCs [39][40][41] and the combinations with other functional materials [42,43] also enrich the understanding of the multi-field coupling effects of structures.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Piezoelectric Semiconductor Thick Plates with Periodic Boundary Conditions

Zhu,

Negahban,

et al. 2023

Micromachines

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Piezoelectric semiconductors, being materials with both piezoelectric and semiconducting properties, are of particular interest for use in multi-functional devices and naturally result in multi-physics analysis. This study provides analytical solutions for thick piezoelectric semiconductor plates with periodic boundary conditions and includes an investigation of electromechanical coupling effects. Using the linearization of the drift-diffusion equations for both electrons and holes for small carrier concentration perturbations, the governing equations are solved by the extended Stroh formalism, which is a method for solving the eigenvalues and eigenvectors of a problem. The solution, obtained in the form of a series expansion with an unknown coefficient, is solved by matching Fourier series expansions of the boundary conditions. The distributions of electromechanical fields and the concentrations of electrons and holes under four-point bending and three-point bending loads are calculated theoretically. The effects of changing the period length and steady-state carrier concentrations are covered in the discussion, which also reflects the extent of coupling in multi-physics interactions. The results provide a theoretical method for understanding and designing with piezoelectric semiconductor materials.

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Analysis of Flexural Vibrations of a Piezoelectric Semiconductor Nanoplate Driven by a Time-Harmonic Force

Cited by 14 publications

References 27 publications

Analysis of the laterally bent piezoelectric semiconductor fibers with variable cross sections

Analysis of the laterally bent piezoelectric semiconductor fibers with variable cross sections

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate

Theoretical Analysis of Piezoelectric Semiconductor Thick Plates with Periodic Boundary Conditions

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